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Ulam-Hyers-Rassias stability for a class of nonlinear implicit Hadamard fractional integral boundary value problem with impulses
- Source :
- AIMS Mathematics, Vol 7, Iss 2, Pp 3169-3185 (2022)
- Publication Year :
- 2022
- Publisher :
- AIMS Press, 2022.
-
Abstract
- This paper considers a class of nonlinear implicit Hadamard fractional differential equations with impulses. By using Banach's contraction mapping principle, we establish some sufficient criteria to ensure the existence and uniqueness of solution. Furthermore, the Ulam-Hyers stability and Ulam-Hyers-Rassias stability of this system are obtained by applying nonlinear functional analysis technique. As applications, an interesting example is provided to illustrate the effectiveness of main results.
- Subjects :
- Class (set theory)
Mathematics::Functional Analysis
General Mathematics
Stability (learning theory)
stability
hadamard fractional integral bvp
contraction mapping principle
Nonlinear system
Hadamard transform
QA1-939
Applied mathematics
Boundary value problem
Mathematics
existence and uniqueness
Subjects
Details
- Language :
- English
- ISSN :
- 24736988
- Volume :
- 7
- Issue :
- 2
- Database :
- OpenAIRE
- Journal :
- AIMS Mathematics
- Accession number :
- edsair.doi.dedup.....0ace29d5252d06adaf6f0c3558488e5c